Adaptation of the Novel Cubic B-Spline Algorithm for Dealing with Conformable Systems of Differential Boundary Value Problems concerning Two Points and Two Fractional Parameters

<div>Graphical results with <svg height="8.55521pt" id="M286" style="vertical-align:-0.2063904pt" version="1.1" viewbox="-0.0498162 -8.34882 35.118 8.55521" width="35.118pt" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink"><g transform="matrix(.013,0,0,-0.013,0,0)"><path d="M569 311C558 308 549 307 540 307C509 307 489 319 478 343L562 417C562 428 548 444 520 444C476 444 443 411 443 355L229 195L227 196L347 424H275C238 381 174 326 108 326C91 326 75 330 58 338L48 312C65 301 85 296 106 296C149 296 197 313 232 346L49 0H122L193 133L453 325C466 294 500 277 540 277C552 277 563 279 572 284L569 311Z"></path></g><g transform="matrix(.013,0,0,-0.013,11.172,0)"><path d="M535 323V373H52V323H535ZM535 138V188H52V138H535Z"></path></g><g transform="matrix(.013,0,0,-0.013,22.435,0)"><path d="M384 0V27C293 34 287 42 287 114V635C232 613 172 594 109 583V559L157 557C201 555 205 550 205 499V114C205 42 199 34 109 27V0H384Z"></path></g><g transform="matrix(.013,0,0,-0.013,28.675,0)"><path d="M241 635C89 635 35 457 35 312C35 153 89 -12 240 -12C390 -12 443 166 443 312C443 466 390 635 241 635ZM238 602C329 602 354 454 354 312C354 172 330 22 240 22C152 22 124 173 124 313S148 602 238 602Z"></path></g></svg> in Example <a href="https://static-preview.hindawi.com/articles/jfs/volume-2023/5322092/figures/#ex1">2</a>: (a) <svg height="12.5703pt" id="M287" style="vertical-align:-3.28197pt" version="1.1" viewbox="-0.0498162 -9.28833 39.6666 12.5703" width="39.6666pt" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink"><g transform="matrix(.013,0,0,-0.013,0,0)"><path d="M837 672C829 675 822 674 813 674C710 674 608 541 510 398C475 447 422 480 349 480C260 480 162 415 162 299C162 199 212 133 284 92C229 39 191 15 134 15C91 15 69 45 69 65H71C78 54 95 53 100 53C128 53 143 80 143 101C143 128 121 149 93 149C60 149 31 121 31 77C31 24 74 -15 138 -15C198 -15 255 22 311 79C360 56 416 43 473 39L455 0H552L569 42C612 49 661 63 693 87L684 103C657 88 617 76 581 69C677 301 753 477 846 658L837 672ZM772 638C701 530 628 379 559 227C558 279 547 330 526 371C609 494 688 609 771 638H772ZM536 199C536 191 536 184 535 176L486 67C430 71 380 84 335 105C395 173 451 257 507 344C527 301 536 251 536 199ZM492 372C431 277 369 183 310 119C245 158 203 217 203 301S275 447 349 447C416 447 461 417 492 372Z"></path></g><g transform="matrix(.0091,0,0,-0.0091,11.115,3.132)"><path d="M713 659C679 654 634 640 607 610C590 591 580 571 573 525L563 470C543 344 514 310 412 305V525C412 600 420 612 494 617V650H243V617C317 612 325 600 325 525V305C239 311 199 348 177 469L167 527C158 572 150 591 135 609C107 643 62 654 28 659L16 628C63 607 66 583 76 525L88 452C99 382 119 346 159 315C203 281 261 267 325 265V124C325 50 317 38 238 32V0H499V32C421 38 412 50 412 124V265C481 267 529 282 571 314C612 346 632 377 646 449L660 521C672 581 678 604 725 628L713 659Z"></path></g><g transform="matrix(.013,0,0,-0.013,18.382,0)"><path d="M300 -147C201 -63 143 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333 249L322 219C369 219 383 192 383 172C383 133 340 111 340 52C340 8 381 -11 424 -11C492 -11 566 46 666 170L643 187ZM361 472C430 611 470 655 509 655C532 655 545 639 545 620C545 531 423 470 362 470L361 472Z"></path></g><g transform="matrix(.013,0,0,-0.013,34.975,0)"><path d="M275 270C275 450 212 609 64 710L45 686C145 604 203 442 203 270S147 -63 45 -147L64 -170C213 -68 275 89 275 270Z"></path></g></svg> and (b) <span class="nowrap"><svg height="12.5703pt" id="M288" style="vertical-align:-3.28197pt" version="1.1" viewbox="-0.0498162 -9.28833 39.9224 12.5703" width="39.9224pt" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink"><g transform="matrix(.013,0,0,-0.013,0,0)"><path d="M837 672C829 675 822 674 813 674C710 674 608 541 510 398C475 447 422 480 349 480C260 480 162 415 162 299C162 199 212 133 284 92C229 39 191 15 134 15C91 15 69 45 69 65H71C78 54 95 53 100 53C128 53 143 80 143 101C143 128 121 149 93 149C60 149 31 121 31 77C31 24 74 -15 138 -15C198 -15 255 22 311 79C360 56 416 43 473 39L455 0H552L569 42C612 49 661 63 693 87L684 103C657 88 617 76 581 69C677 301 753 477 846 658L837 672ZM772 638C701 530 628 379 559 227C558 279 547 330 526 371C609 494 688 609 771 638H772ZM536 199C536 191 536 184 535 176L486 67C430 71 380 84 335 105C395 173 451 257 507 344C527 301 536 251 536 199ZM492 372C431 277 369 183 310 119C245 158 203 217 203 301S275 447 349 447C416 447 461 417 492 372Z"></path></g><g transform="matrix(.0091,0,0,-0.0091,11.115,3.132)"><path d="M498 658H277V626C335 621 342 616 342 579C220 574 46 510 46 330C46 148 226 88 342 86C342 41 334 37 271 32V0H498V32C435 37 427 41 427 86C546 88 723 153 723 337C723 518 550 575 427 579C427 616 434 621 498 626V658ZM342 123C255 129 141 183 141 338C141 489 257 538 342 542V123ZM427 542C512 538 629 489 629 333C629 178 512 129 427 123V542Z"></path></g><g transform="matrix(.013,0,0,-0.013,18.637,0)"><path d="M300 -147C201 -63 143 98 143 270S200 602 300 686L282 710C136 610 70 450 70 271V270C70 89 136 -72 282 -170L300 -147Z"></path></g><g transform="matrix(.013,0,0,-0.013,23.135,0)"><path d="M384 393C384 425 346 448 294 448C244 448 200 431 150 399C75 351 23 271 23 176C23 90 52 45 132 19C150 13 166 9 195 2C245 -10 260 -27 260 -55C260 -92 234 -127 218 -145L237 -159C271 -137 333 -93 333 -18C333 43 283 62 228 74C199 80 186 84 172 89C116 109 101 150 101 210C101 318 164 400 241 400C276 400 301 390 327 356C334 347 338 343 346 345C367 349 384 374 384 393Z"></path></g><g transform="matrix(.0091,0,0,-0.0091,28.101,3.132)"><path d="M643 187C543 62 472 19 433 19C412 19 402 30 402 46C402 76 435 98 435 148C435 183 420 207 381 230L382 233C490 246 594 315 594 380C594 412 567 441 526 441C441 441 355 382 258 269L256 270L344 438C413 438 575 502 575 622C575 650 557 687 512 687C434 687 384 630 293 469C249 473 206 489 171 530L151 509C191 461 230 448 277 440L40 0H117L144 53C253 269 429 411 509 411C522 411 542 405 542 377C542 321 434 254 333 249L322 219C369 219 383 192 383 172C383 133 340 111 340 52C340 8 381 -11 424 -11C492 -11 566 46 666 170L643 187ZM361 472C430 611 470 655 509 655C532 655 545 639 545 620C545 531 423 470 362 470L361 472Z"></path></g><g transform="matrix(.013,0,0,-0.013,35.231,0)"><path d="M275 270C275 450 212 609 64 710L45 686C145 604 203 442 203 270S147 -63 45 -147L64 -170C213 -68 275 89 275 270Z"></path></g></svg>.</span></div>

Journal of Function Spaces

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Figure 1

Figure 1: Adaptation of the Novel Cubic B-Spline Algorithm for Dealing with Conformable Systems of Differential Boundary Value Problems concerning Two Points and Two Fractional Parameters 

Figure 1 | Adaptation of the Novel Cubic B-Spline Algorithm for Dealing with Conformable Systems of Differential Boundary Value Problems concerning Two Points and Two Fractional Parameters 