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="M405" style="vertical-align:-0.2063904pt" version="1.1" viewbox="-0.0498162 -8.34882 41.3814 8.55521" width="41.3814pt" 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="M137 343C167 482 260 545 321 574C357 591 397 603 429 609L423 641C382 634 335 622 295 608C189 570 37 457 37 238C37 84 125 -12 242 -12C362 -12 447 89 447 209C447 311 374 393 267 393C247 393 226 386 204 376L137 343ZM227 337C318 337 361 256 361 173C361 105 336 22 258 22C176 22 126 120 126 240C126 266 127 291 132 310C155 323 189 337 227 337Z"></path></g><g transform="matrix(.013,0,0,-0.013,34.915,0)"><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/#ex2">3</a>: (a) <svg height="12.5703pt" id="M406" 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" 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transform="matrix(.0091,0,0,-0.0091,27.846,3.132)"><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,-0.013,34.975,0)"><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="M407" 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 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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 2

Figure 2: 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 2 | 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 